The Central Election Commission has now processed 92 percent of votes cast on Sunday, with Mr Zelenskiy emerging as the clear frontrunner. He is sitting with 30 percent of the votes, while incumbent President Petro Poroshenko was supported by 15 percent of voters. 13 percent voted for Batkivshchyna Party leader Yulia Tymoshenko.
Next, Mr Zelenskiy and Mr Poroshenko will face each other in a run-off on April 21.
While Mr Zelenskiy is the obvious favourite, there are some concerns around aspects of his campaign which some predict could harm him in the interim.
The concerns centre around the popular comedian’s relationship with oligarch Ihor Kolomoisky, owner of one of Ukraine’s most popular TV channels 1+1.
Mr Zelenskiy has built his campaign and garnered popularity through his insurgent campaign that rails against corrupt politicians influenced by rich oligarchs.
But his relationship with Mr Kolomoisky threatens to derail it.
Mr Kolomoisky’s 1+1 channel has given the Zelenskiy campaign a powerful platform, with questions about the nature of the men’s relationship beginning to emerge.
On Saturday, a day before Mr Zelenskiy won the first round of votes, 1+1 filled its schedule with back-to-back shows by the comedian and actor.
The fact that he is a major star on the channel has worried inversions and voters, with accusations from political opponents that he is in the pocket of an oligarch himself.
Both Mr Zelenskiy and Mr Kolomoisky insist their relationship is strictly professional, and centred on the comedian’s TV work.
Both have stated no influence is being exerted over Mr Zelenskiy by Mr Kolomoisky, whose businesses range from banking and energy to aviation.
Mr Kolomoisky went so far as to say last year: “I’m more his puppet than he is mine.”
Mr Zelenskiy struck an equally stern tone: “It is impossible to influence me.
“Neither Kolomoisky, nor any other oligarch, no one will influence me.”
Last month, Mr Zelenskiy announced he was in the process of extracting himself from all his businesses, including the production company whose shows run on 1+1.
However, President Poroshenko has sought to politicise the connection between the two men as he fights to make up ground to the comedian before the run-off vote.
Mr Poroshenko said: “In the past few weeks my opponents have poured on me rivers of shameless lies. The main source of these lies in recent months – deplorable as it may be – has been 1+1.
“1+1 has turned into the obedient implementer of the political assignments of its owner.”
Mr Kolomoisky fled Ukraine after clashing with Mr Poroshenko over Ukraine’s largest bank, which he used to own.
In a November interview to Ukrainian news site lb.ua, he said he worried Ukraine’s judicial system would stop him from leaving the country if he came back.